The measure of angle AEB is 19 degrees
A+bi is the form of a complex number. a is on the x axis, bi is on the y axis:
3-4i ( x positive, y negative) Q4
-1-3i (both x, y negative) Q3
4+i ( both x, y positive) Q1
-2+2i (x neg, y pos) Q3
Answer:
Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).
Step-by-step explanation:
Misha's group was asked to write an expression equivalent to
7y²z + 3yz² - 3
When Mr. Chen checked their answers, he found only one to be correct.
And she was Helena.
Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).
Because, (7y²z + 6yz²- 5 - 3yz² + 2)
= 7y²z + (6yz² - 3yz²) - (5 - 2)
= 7y²z + 3yz² - 3 (Answer)
Answer:
Then the total area is 116 cm^2 which agrees with answer D
Step-by-step explanation:
Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)
The Area of a rectangle is the product: base x height
In our case :
Area of Big rectangle = 12 cm x 7 cm = 84 cm^2
Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2
Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2
A = length x width
15,000 = (w + 30) x w
15,000 =
+ 30w
0 =
+ 30w - 15,000
Use quadratic formula to find that w= -15 + or - 5
. Because distance cannot be negative, the width is -15 + 5
meters or approximately 108.39 meters. This means that the length is approximately 138.39 meters.
